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Representation Theory
H-index 3

Representation Theory

1088-4165

Published by: American Mathematical Society

https://www.ams.org/publications/journals/journalsframework/ert

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 673 8 18 3

Additional Metrics

Number of Best Scientists*: 11
Documents by Best Scientists*: 21
Top 100 Ranked Scientists*: 2
SCIMAGO H-index: 37
SCIMAGO SJR: 0.989
Impact Factor: 0.6

Overview

Top Research Topics at Representation Theory of The American Mathematical Society?

The journal is mainly concerned with subjects like Pure mathematics, Algebra, Combinatorics, Discrete mathematics and Type (model theory). The Pure mathematics study tackled is a key component of adjacent topics in the area of Group (mathematics). The journal explores research in Algebra and the adjacent study of Affine Lie algebra.

Affine Lie algebra and Graded Lie algebra are closely related fields of research discussed in Representation Theory of The American Mathematical Society. The journal emphasizes research on Combinatorics, which includes concerns such as Conjecture. The journal covers Nilpotent group research under the subject of Nilpotent.

The Representation of a Lie group study featured in the journal draws connections with the study of Simple Lie group. The research on Simple Lie group discussed in the journal draws on the closely related field of Adjoint representation of a Lie algebra. The presentations focused mostly on Adjoint representation of a Lie algebra in an attempt to further explore topics in Lie conformal algebra.

  • Pure mathematics (64.72%)
  • Algebra (25.62%)
  • Combinatorics (15.51%)

What are the most cited papers published in the journal?

  • A diagrammatic approach to categorification of quantum groups II (453 citations)
  • Weyl modules for classical and quantum affine algebras (193 citations)
  • HIGHEST WEIGHT CATEGORIES ARISING FROM KHOVANOV'S DIAGRAM ALGEBRA III: CATEGORY O (173 citations)

Research areas of the most cited articles at Representation Theory of The American Mathematical Society:

The most cited publications generally zeroe in on subjects such as Pure mathematics, Algebra, Affine Lie algebra, Discrete mathematics and Algebra representation. Aside from research in Pure mathematics, the journal papers also discuss Hecke operator studies. The studies on Affine Lie algebra discussed at the published papers can also contribute to research in the domains of Non-associative algebra, Lie conformal algebra, Verma module, Quantum affine algebra and Graded Lie algebra.

What topics the last edition of the journal is best known for?

  • Algebra
  • Pure mathematics
  • Vector space

The previous edition focused in particular on these issues:

Representation Theory of The American Mathematical Society is organized to address concerns in the fields of Pure mathematics, Combinatorics, Type (model theory), Reductive group and Irreducible representation. The Pure mathematics study tackling the subject of Standard basis is the focus of Representation Theory of The American Mathematical Society. While work presented in Representation Theory of The American Mathematical Society provided substantial information on Combinatorics, it also covered topics in Topological space, Group (mathematics) and Lie algebra.

The research on Type (model theory) tackled can also make contributions to studies in the areas of Characterization (mathematics) and Zero (complex analysis). The journal focuses on Reductive group but sometimes tackles the closely related topic of Unipotent which is concerned with Nilpotent orbit. The study of Irreducible representation encompasses disciplines such as Order (ring theory), as well as fields such as Field (mathematics), all of which overlap with one another.

The most cited articles from the last journal are:

  • Finite dimensional semigroups of unitary endomorphisms of standard subspaces (6 citations)
  • Parametrizing torsion pairs in derived categories (3 citations)
  • The sparsity of character tables of high rank groups of Lie type (2 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Representation Theory of The American Mathematical Society (based on the number of publications) are:

  • George Lusztig (34 papers) published 2 papers at the last edition, 1 less than at the previous edition,
  • Meinolf Geck (9 papers) absent at the last edition,
  • Gunter Malle (6 papers) absent at the last edition,
  • Wolfgang Soergel (6 papers) absent at the last edition,
  • John R. Stembridge (5 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Representation Theory of The American Mathematical Society (based on the number of publications) are:

  • Massachusetts Institute of Technology (65 papers) published 2 papers at the last edition, 2 less than at the previous edition,
  • University of California, San Diego (11 papers) absent at the last edition,
  • University of Sydney (11 papers) published 1 paper at the last edition the same number as at the previous edition,
  • University of Paris (11 papers) published 1 paper at the last edition,
  • University of Chicago (11 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 16.13% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 19.23% were posted by at least one author from the top 10 institutions publishing in the journal. Another 15.38% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 15.38% of all publications and 50.00% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Fourier transform as a triangular matrix

    G. Lusztig

    (2020)
    5 Citations
  • The Grothendieck group of unipotent representations: A new basis

    G. Lusztig

    (2020)
    4 Citations
  • Partial flag manifolds over a semifield

    G. Lusztig

    (2020)
    3 Citations
  • Distinguished strata in a reductive group

    (2021)
    3 Citations
  • Local functions on finite groups

    I. Isaacs;Gabriel Navarro

    (2020)
    3 Citations
  • From Weyl groups to semisimple groups

    (2021)
    2 Citations
  • Coordinate rings and birational charts

    (2021)
    2 Citations
  • Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems

    Alexander Kleshchev;Lucia Morotti;Pham Huu Tiep

    (2020)
    2 Citations
  • Cosets from equivariant 𝒲-algebras

    (2023)
    2 Citations
  • Total Positivity in Symmetric Spaces

    (2021)
    2 Citations

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